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mathsux4real
 2 years ago
Please help :0 Find the term containing x^42 of (x^33)^16
mathsux4real
 2 years ago
Please help :0 Find the term containing x^42 of (x^33)^16

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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1well first we need \(\frac{42}{3}=14\) to know which term we want

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1so it is either the 14th term or the second term depending on how you are counting. makes no difference. the term looks like \[\dbinom{16}{2}(x^3)^{14}(3)^2\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1\[\dbinom{16}{2}=\frac{16\times 15}{2}=8\times 15=120\] and \((3)^2=9\) multiply to get your answer

cookies
 2 years ago
Best ResponseYou've already chosen the best response.0wow my drawing really sucked.... oh well!!

mathsux4real
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks so much satellite73!
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